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Finding the Fourth Proportional to 16,409.20, 24,611.40 and 4,721.20

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Solution

The fourth proportional to 16,409.20, 24,611.40 and 4,721.20 is: 7,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.20 : 24,611.40 = 4,721.20 : x
  2. Step 2: Convert to fraction form
    16,409.20/24,611.40 = 4,721.20/x
  3. Step 3: Cross multiply
    16,409.20x = 24,611.40 × 4,721.20
  4. Step 4: Simplify right side
    16,409.20x = 116,195,341.68
  5. Step 5: Solve for x
    x = 116,195,341.68/16,409.20
  6. Step 6: Final answer
    x = 7,081.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.